Chapter 7: Q. 2 (page 655)
Fill in the blanks.
For r_____ , the sequence converges to _____.
Short Answer
The required answer is for , the sequence converges to 1 and for , the sequence converges to 0.
Chapter 7: Q. 2 (page 655)
Fill in the blanks.
For r_____ , the sequence converges to _____.
The required answer is for , the sequence converges to 1 and for , the sequence converges to 0.
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Use the divergence test to analyze the given series. Each answer should either be the series diverges or the divergence test fails, along with the reason for your answer.
For each series in Exercises 44–47, do each of the following:
(a) Use the integral test to show that the series converges.
(b) Use the 10th term in the sequence of partial sums to approximate the sum of the series.
(c) Use Theorem 7.31 to find a bound on the tenth remainder, .
(d) Use your answers from parts (b) and (c) to find an interval containing the sum of the series.
(e) Find the smallest value of n so that localid="1649224052075" .
Whenever a certain ball is dropped, it always rebounds to a height p% (0 < p < 100) of its original position. What is the total distance the ball travels before coming to rest when it is dropped from a height of h meters?
Express each of the repeating decimals in Exercises 71–78 as a geometric series and as the quotient of two integers reduced to lowest terms.
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